Integrable 1D Toda cellular automata

Details Integrable 1D Toda cellular automata Integrable 1D Toda cellular automata

2005-02-22

arxiv.org/abs/nlin/0502051v2

J. Nonl. Math. Phys. Vol. 12, Suppl. 2 (2005) 28-35.

Nonlinear Sciences

Exactly Solvable and Integrable Systems

9 pages, 2 figures; Corrected typos

Scientific paper

First, we recall the algebro-geometric method of construction of finite field
valued solutions of the discrete KP equation and next we perform a reduction of
the dKP equation to the discrete 1D Toda equation. This gives a method of
construction of solutions of the discrete 1D Toda equation taking values in a
finite field.

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